A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for 3200 TK. With the help of C, they completed the work in 3 days.How much is to be paid to C ?

A 375 Tk

B 400 Tk

C 600 Tk

D 800 Tk

Correct Answer: Option B

Solution:

C's 1 days work \(\frac{1}{3} - (\frac{1}{6} + \frac{1}{8})\) => \(\frac{1}{3} - \frac{7}{{24}}\) => \(\frac{1}{{24}}\) part

C's 3 day's work = \(\frac{3}{{24}} = \frac{1}{8}\) part

C's share (for 3 days) = Tk \(3200 \times \frac{1}{8}\) = 400 Tk.